About
About Me
Hi! I'm a PhD candidate in the Department of Mathematics at IIT Guwahati, where I work with Prof. Siddhartha P. Chakrabarty. Broadly, my research lies at the intersection of mathematical modeling, infectious diseases, and ecological systems. I'm especially interested in how mathematical tools can help us understand and control the spread of infections like HIV, and how species interact and evolve in dynamic environments.
My current work focuses on developing and analyzing deterministic models that track community-level HIV transmission under treatment and adherence challenges. This includes exploring questions like: how does poor adherence to treatment influence the emergence of drug resistance? When should treatment be switched? What happens when multiple strains co-circulate in a population? I use tools like stability analysis, bifurcation theory, and optimal control theory to explore these dynamics. I'm also curious about the role of heterogeneity and stochasticity in the population, and I'm building my skills to extend my work in this direction.
My interest in mathematics started early, thanks to my grandfather. He was a farmer, but surprisingly good at math. Growing up, he used to quiz me and my elder brother with simple math problems based on real-world things. That playful and practical way of learning made me curious, and math started to feel less like a subject and more like a tool to explore things.
Beyond academics, I'm deeply passionate about nature and wildlife. Growing up, I was captivated by the documentaries of Sir David Attenborough, which sparked my love for the natural world. In the final semester of my Master's at the Central University of Rajasthan, I got an opportunity to work with Dr. Jai Prakash Tripathi on a project that combined both of these interests: mathematical modeling of ecological systems. I worked on predator-prey systems involving intraguild predation and the Allee effect. That experience made me realize how mathematics can be a powerful lens to explore natural and social systems, from species interactions to public health challenges. Since then, I've been drawn to problems that sit at the interface of biology, environment, and mathematical theory.
Over the last few years, I've had the opportunity to present my work at various international conferences including ICIAM-2023 (Japan) and SciCADE-2024 (Singapore), and attend several workshops and training programs in modeling, scientific computing, and applied mathematics. I've also contributed to teaching several courses as a TA for undergraduate students, both on campus and through online platforms like NPTEL and Coursera.
Outside academics, I enjoy photography, reading non-fiction, playing and watching sports, travelling, and cooking simple meals. These hobbies keep me relaxed and help me stay fresh while working on research.